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Finding the Third Proportional to 131,811.75 and 204,271.88

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Solution

The third proportional to 131,811.75 and 204,271.88 is: 316,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,811.75 : 204,271.88 = 204,271.88 : x
  2. Step 2: Convert to fraction form
    131,811.75/204,271.88 = 204,271.88/x
  3. Step 3: Cross multiply
    131,811.75x = 204,271.88 × 204,271.88
  4. Step 4: Simplify right side
    131,811.75x = 41,726,998,916.02
  5. Step 5: Solve for x
    x = 41,726,998,916.02/131,811.75
  6. Step 6: Final answer
    x = 316,565.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.